### Some articles on *turing degrees, turing, degrees*:

Recursion Theory - Areas of Research - Relative Computability and The

... focused on relative computability, a generalization of

**Turing Degrees**... focused on relative computability, a generalization of

**Turing**computability defined using oracle**Turing**machines, introduced by**Turing**(1939) ... An oracle**Turing**machine is a hypothetical device which, in addition to performing the actions of a regular**Turing**machine, is able to ask questions of an oracle, which is a ... Informally, a set of natural numbers A is**Turing**reducible to a set B if there is an oracle machine that correctly tells whether numbers are in A when run with B as ...Recursion Theory - Areas of Research - Automorphism Problems

... enumerable sets, automorphisms are also studied for the structure of the

... enumerable sets, automorphisms are also studied for the structure of the

**Turing degrees**of all sets as well as for the structure of the**Turing degrees**of r.e ... nontrivial automorphisms which map some**degrees**to other**degrees**this construction has, however, not been verified and some colleagues believe that the construction contains errors and that the ...Theodore Slaman

... Hugh Woodin formulated the Bi-interpretability Conjecture for the

... Hugh Woodin formulated the Bi-interpretability Conjecture for the

**Turing degrees**, which conjectures that the partial order of the**Turing degrees**is logically equivalent to second order ... being no nontrivial automorphism of the**Turing degrees**... They also exhibited limits on the possible automorphisms of the**Turing degrees**by showing that any automorphism will be arithmetically definable ...Structure of The

... A great deal of research has been conducted into the structure of the

**Turing Degrees**... A great deal of research has been conducted into the structure of the

**Turing degrees**... be drawn from the research is that the structure of the**Turing degrees**is extremely complicated ...### Famous quotes containing the word degrees:

“I was by *degrees* awakened as from a dream, and feared that my whole life could properly be counted nothing else but a fantastic vision.”

—Sarah Fielding (1710–1768)